Hausdorff measure of escaping and Julia sets for bounded-type functions of finite order

DOI10.1017/S0143385711000745zbMath1269.37024arXiv1102.4933OpenAlexW2962788126WikidataQ121717792 ScholiaQ121717792MaRDI QIDQ4911073

Jörn Peter

Publication date: 13 March 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4933

zbMATH Keywords

Julia setHausdorff measuretranscendental entire function

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dimension theory of smooth dynamical systems (37C45)

Related Items (3)

Fast escaping points of entire functions: a new regularity condition ⋮ Hausdorff measure of the escaping parameter without endpoints is zero for exponential family ⋮ Fast growth entire functions whose escaping set has Hausdorff dimension two

Cites Work

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• Dynamical properties of some classes of entire functions
• A reduction technique for limit theorems in analysis and probability theory
• Hausdorff dimension of hairs and ends for entire maps of finite order
• Hausdorff measure of Julia sets in the exponential family
• The growth rate of an entire function and the Hausdorff dimension of its Julia set
• Iteration of meromorphic functions
• The Hausdorff Dimension of Julia Sets of Entire Functions IV

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